Rigorous constraints on three-nucleon forces in chiral effective field theory from fast and accurate calculations of few-body observables
Journal article, 2021

We explore the constraints on the three-nucleon force (3NF) of chiral effective field theory (χEFT) that are provided by bound-state observables in the A=3 and A=4 sectors. Our statistically rigorous analysis incorporates experimental error, computational method uncertainty, and the uncertainty due to truncation of the χEFT expansion at next-to-next-to-leading order. A consistent solution for the H3 binding energy, the He4 binding energy and radius, and the H3β-decay rate can only be obtained if χEFT truncation errors are included in the analysis. The β-decay rate is the only one of these that yields a nondegenerate constraint on the 3NF low-energy constants, which makes it crucial for the parameter estimation. We use eigenvector continuation for fast and accurate emulation of no-core shell model calculations of the few-nucleon observables. This facilitates sampling of the posterior probability distribution, allowing us to also determine the distributions of the parameters that quantify the truncation error. We find a χEFT expansion parameter of Q=0.33±0.06 for these observables.

Author

S. Wesolowski

Salisbury University

Isak Svensson

Subatomic, High Energy and Plasma Physics PP

Andreas Ekström

Chalmers, Physics, Subatomic, High Energy and Plasma Physics

Christian Forssén

Chalmers, Physics, Subatomic, High Energy and Plasma Physics

R. J. Furnstahl

Ohio State University

J. A. Melendez

Ohio State University

D. R. Phillips

Ohio University

Technische Universität Darmstadt

Helmholtz

Physical Review C

24699985 (ISSN) 24699993 (eISSN)

Vol. 104 6 A151

Subject Categories

Subatomic Physics

Theoretical Chemistry

Probability Theory and Statistics

DOI

10.1103/PhysRevC.104.064001

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1/3/2024 9